Pith Number

pith:LUTUG5P7

pith:2020:LUTUG5P7FH3FTZG4UKZXGSM7JO

not attested not anchored not stored refs pending

Inversion of the $j$--function and testing complex multiplication

John Armitage

arxiv:2011.09405 v1 · 2020-11-18 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUTUG5P7FH3FTZG4UKZXGSM7JO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:52:43.693361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d274375ff29f659e4dca2b373499f4bb63a59c972c3ce8ba5a416edf0a9b54b

Aliases

arxiv: 2011.09405 · arxiv_version: 2011.09405v1 · doi: 10.48550/arxiv.2011.09405 · pith_short_12: LUTUG5P7FH3F · pith_short_16: LUTUG5P7FH3FTZG4 · pith_short_8: LUTUG5P7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LUTUG5P7FH3FTZG4UKZXGSM7JO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5d274375ff29f659e4dca2b373499f4bb63a59c972c3ce8ba5a416edf0a9b54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d158c0394ffb8326c906d980a94f70b0f8c69c41a6bf954f8c75fcfc4bf8e60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-18T17:05:26Z",
    "title_canon_sha256": "65d534b155673fd288e3708542be5518dcc852a238c2c0c6aa853a5233633886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09405",
    "kind": "arxiv",
    "version": 1
  }
}